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针对起重机安全评价中模糊性和随机性并存的问题,提出起重机安全等级评价的随机可变集方法。根据可变集对立统一原理确定评价指标对各安全等级的相对隶属度;利用可变集识别模型计算起重机样本的综合相对隶属度;将随机变量引入综合相对隶属度,由3σ准则得到级别特征值的置信区间,以此评价起重机的安全级别;将该方法应用于4个通用桥式起重机样本,与其他起重机评价方法进行对比分析。实例计算表明:随机可变集方法得到的评价等级较未确知测度理论方法和模糊层次分析方法更加合理。
Aiming at the coexistence of fuzziness and randomness in crane safety evaluation, a random variable set method for crane safety grade evaluation is proposed. According to the unified principle of variable set, the relative membership degree of evaluation index to each safety level is determined. The comprehensive relative membership degree of crane sample is calculated by using variable set identification model. The random variables are introduced into comprehensive relative membership degree, and the level eigenvalue Confidence interval of the crane to evaluate the safety level of the crane. The method was applied to four general overhead traveling crane samples and compared with other crane evaluation methods. The case study shows that the evaluation level obtained by the stochastic variable set method is more reasonable than the unascertained measurement theory method and fuzzy analytic hierarchy process.